We divide 559094 by 45
We're looking to find how many times 45 goes into 559094.

Moving on to step 1:
45 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 45

On to step 2:
55 divided by 45 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 45 from 55, we get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 45

Let's proceed to step 3:
109 divided by 45 is 2 with a remainder of 19.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 90 from 109, we get 19.
Bring next digit (0) of the dividend behind the 19 and repeat the process: 190 / 45

Let's proceed to step 4:
The number 45 fits into 190 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 124.0
Subtracting 180 from 190 leaves us with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 45

Step 5:
45 can be fit into 109 2 times, resulting in a remainder of 19.
The next digit of our result is 2. 
Result so far: 1242.0
If we take 90 away from 109, we end up with 19.
Bring next digit (4) of the dividend behind the 19 and repeat the process: 194 / 45

Going ahead to step 6:
When dividing 194 by 45, we get 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 12424.0
If we subtract 180 from 194, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
The number 45 fits into 140 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 12424.3
If we subtract 135 from 140, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
When dividing 50 by 45, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 12424.31
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
When dividing 50 by 45, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 12424.311
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 12424.311, and the remainder is 0.0005.